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Finding the Fourth Proportional to 321.50, 443.13 and 266.06

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Solution

The fourth proportional to 321.50, 443.13 and 266.06 is: 366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.50 : 443.13 = 266.06 : x
  2. Step 2: Convert to fraction form
    321.50/443.13 = 266.06/x
  3. Step 3: Cross multiply
    321.50x = 443.13 × 266.06
  4. Step 4: Simplify right side
    321.50x = 117,899.17
  5. Step 5: Solve for x
    x = 117,899.17/321.50
  6. Step 6: Final answer
    x = 366.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.